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Extrema of random algebraic polynomials with non-identically distributed normal coefficients

Extrema of random algebraic polynomials with non-identically distributed normal coefficients

Abstract An asymptotic estimate is derived for the expected number of extrema of a polynomial whose independent normal coefficients possess non-equal non-zero mean values. A result is presented that generalizes in terms of normal processes the analytical device used for construction of similar asymptotic estimates for random polynomials with normal …